document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=106356>Question 106356</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/1592009425/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Hi,<BR>\n" );
document.write( "3 problems\r<BR>\n" );
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document.write( "1/2 (x + 5)=1/3 x +1/4\r<BR>\n" );
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document.write( "7=2(y+6)\r<BR>\n" );
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document.write( "0.04x + 0.08(20-x)=1.4\r<BR>\n" );
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document.write( "Thank you so much for being here. Your help is greatly appreciated </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #77463 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=77463\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1) <BR>\n" );
document.write( "1/2 (x + 5)=1/3 x +1/4  multiply each term by 12, since 12 is the LCM---the smallest number that 2, 3 and 4 divides evenly into.  This will get rid of the fractions\r<BR>\n" );
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document.write( "12*(1/2)(x+5)=12*(1/3)x+12*(1/4)  simplify\r<BR>\n" );
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document.write( "6(x+5)=4x+3  get rid of parens\r<BR>\n" );
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document.write( "6x+30=4x+3  subtract 4x and also 30 from both sides\r<BR>\n" );
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document.write( "6x-4x+30-30=4x-4x+3-30  collect like terms\r<BR>\n" );
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document.write( "2x=-27  divide both sides by 2\r<BR>\n" );
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document.write( "x=-13.5\r<BR>\n" );
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document.write( "CK<BR>\n" );
document.write( "1/2(-13.5+5)=(1/3)(-13.5)+1/4<BR>\n" );
document.write( "1/2(-8.5)=1/3(-13.5)+0.25<BR>\n" );
document.write( "-4.25=-4.5+0.25<BR>\n" );
document.write( "-4.25=-4.25\r<BR>\n" );
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document.write( "2)<BR>\n" );
document.write( "7=2(y+6) get rid of parens\r<BR>\n" );
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document.write( "7=2y+12  subtract 12 from both sides\r<BR>\n" );
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document.write( "7-12=2y+12-12  collect like terms\r<BR>\n" );
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document.write( "-5=2y  divide both sides by 2\r<BR>\n" );
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document.write( "y=-2.5\r<BR>\n" );
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document.write( "CK<BR>\n" );
document.write( "7=2(-2.5+6)\r<BR>\n" );
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document.write( "7=-5+12<BR>\n" );
document.write( "7=7\r<BR>\n" );
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document.write( "3)\r<BR>\n" );
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document.write( "0.04x + 0.08(20-x)=1.4 <BR>\n" );
document.write( "Lets just multiply each term by 100 and we will not have to deal with decimals.<BR>\n" );
document.write( "---And we get:\r<BR>\n" );
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document.write( "4x+8(20-x)=140  get rid of parens\r<BR>\n" );
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document.write( "4x+160-8x=140  subtract 160 from both sides\r<BR>\n" );
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document.write( "4x+160-160-8x=140-160  collect like terms\r<BR>\n" );
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document.write( "-4x=-20  divide both sides by -4<BR>\n" );
document.write( "x=5\r<BR>\n" );
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document.write( "CK<BR>\n" );
document.write( "0.04*5+0.08(20-5)=1.4<BR>\n" );
document.write( "0.2+1.2=1.4<BR>\n" );
document.write( "1.4=1.4\r<BR>\n" );
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document.write( "ok, we'll also do the decimal version:<BR>\n" );
document.write( "0.04x + 0.08(20-x)=1.4  get rid of parens\r<BR>\n" );
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document.write( "0.04x+1.6-0.08x=1.4  subtract 1.6 from both isdes\r<BR>\n" );
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document.write( "0.04x+1.6-1.6-0.08x=1.4-1.6  collect like terms\r<BR>\n" );
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document.write( "-0.04x=-0.2  divide both sides by -0.04\r<BR>\n" );
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document.write( "x=5\r<BR>\n" );
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document.write( "Hope this helps---ptaylor\r<BR>\n" );
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document.write( " </SPAN>\n" );
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